Lecture 2

Question 1

What does it mean if the system is Time Invariant?

Answer 1

The system responds the same independent of when the signal is applied

Question 2

What is a System?

Answer 2

It is a collection of components for the purpose of performing functions

Question 3

What is analysis?

Answer 3

Determining the output for a given input to the system.

Question 4

Rule for t

Answer 4

x(t)=0

Question 5

What is a finite signal?

Answer 5

Starts at x(t)=0 and ends at x(t)=0

Question 6

Definition of periodic signal?

Answer 6

x(t)=x(t+T)

Question 7

What does a dampened exponential look like?

Answer 7

A(e^-at)cos(2pift+theta)

Question 8

Equation for Rect(t/T)?

Answer 8

= 1 if abs(t)T/2

Question 9

Equation for r(t)? [Ramp function]

Answer 9

tu(t)

Question 10

Equation for sgn(t)? [Signum function]

Answer 10

= -1 if t0

Question 11

Equation for tri(t)?

Answer 11

= 1-abs(t) if abs(t)1

Question 12

Doing what to two signals transforms them vertically?

Answer 12

Adding them

Question 13

Doing what to two signals transforms them horizontally?

Answer 13

Multiplying them

Question 14

Equation for delta function?

Answer 14

= 0 if t not equal to 0

= infinity if t equals 0

Question 15

What is the differentiation of u(t)?

Answer 15

Delta function

Question 16

What is the integration of delta function?

Answer 16

Step function

Question 17

Scaling deta: delta(at)=?

Answer 17

= (1/abs(a))*delta(t)